88615520 has 144 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 29804544.

The previous prime is 88615511. The next prime is 88615529. The reversal of 88615520 is 2551688.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88615511) and next prime (88615529).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88615529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697697 + ... + 697823.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^88615520 is an apocalyptic number.

88615520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

88615520 is an abundant number, since it is smaller than the sum of its proper divisors (159594400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88615520 is a wasteful number, since it uses less digits than its factorization.

88615520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 88615520 is about 9413.5816775550. The cubic root of 88615520 is about 445.8306582268.

The spelling of 88615520 in words is "eighty-eight million, six hundred fifteen thousand, five hundred twenty".